Diophantus of Alexandria/Arithmetica/Book 5

Problems by Diophantus of Alexandria: Arithmetica Book $\text {V}$

Problem $30$

A man buys a certain number of measures of wine, some at $8$ drachmas, some at $5$ drachmas each.

He pays for them a square number of drachmas;

and if we add $60$ to this number, the result is a square, the side of which is equal to the whole number of measures.

Find how many he bought at each price.